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13030312022032 = 2429312961130593
BaseRepresentation
bin1011110110011101101100…
…0111101001000000010000
31201010200111211220210102011
42331213123013221000100
53201442034334201112
643414013120232304
72513260164500434
oct275473307510020
951120454823364
1013030312022032
114174140489578
12156544116b694
137369a389a326
14330955a929c4
15178e35896aa7
hexbd9db1e9010

13030312022032 has 80 divisors (see below), whose sum is σ = 26961057953280. Its totient is φ = 6087171686400.

The previous prime is 13030312021999. The next prime is 13030312022033. The reversal of 13030312022032 is 23022021303031.

It is a junction number, because it is equal to n+sod(n) for n = 13030312021994 and 13030312022012.

It is not an unprimeable number, because it can be changed into a prime (13030312022033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425909328 + ... + 425939920.

It is an arithmetic number, because the mean of its divisors is an integer number (337013224416).

Almost surely, 213030312022032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13030312022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13480528976640).

13030312022032 is an abundant number, since it is smaller than the sum of its proper divisors (13930745931248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13030312022032 is a wasteful number, since it uses less digits than its factorization.

13030312022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60272 (or 60266 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13030312022032 its reverse (23022021303031), we get a palindrome (36052333325063).

The spelling of 13030312022032 in words is "thirteen trillion, thirty billion, three hundred twelve million, twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 899 1798 3596 7192 14384 29611 30593 59222 61186 118444 122372 236888 244744 473776 489488 858719 887197 917941 948383 1717438 1774394 1835882 1896766 3434876 3548788 3671764 3793532 6869752 7097576 7343528 7587064 13739504 14195152 14687056 15174128 26620289 27503107 53240578 55006214 106481156 110012428 212962312 220024856 425924624 440049712 905889323 1811778646 3623557292 7247114584 14494229168 26270790367 28082569013 52541580734 56165138026 105083161468 112330276052 210166322936 224660552104 420332645872 449321104208 814394501377 1628789002754 3257578005508 6515156011016 13030312022032